Find the critical points in the domain of the function f(x) = 8x³ - 7x.

Q: If 29 + f(x) + 7x²(f(x))³ = 0 and f(-2) = -1, find f'(-2). f'(-2) =

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Q: Linearize ​f(x)=2−x for a=1 and use it to approximate the value of 1.8.

A: Given function is f(x)=2-x  for a=1

Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

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Q: A study investigating the relationship between diet and weight in adults found that the weight W of…

A: A study investigating the relationship between diet and weight in adults found that the weight W of…

Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

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Q: A company finds that if they price their product at $ 45, they can sell 438 items of it. For every…

A: we have given for price 45$, 438 items sold. for every dollar increase in price, the number of item…

Q: 11 1+6 2-5 19. 21 -<6 3 s1

A: (19).The given inequality is:x+6x-5≤1

Q: Consider the power series (−1)¹ (7x − 3)¹ - √n +9 Find the center, a, radius of convergence, R, and…

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Q: Suppose that f(x) = √3+e. Find ƒ' (2). f'(2) =

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Q: Evaluate the iterated integral In 3 In 5 S + 3y dy dx

A: The given iterated integral is:∫0ln 3∫1ln 5 ex+3y dy dx

Q: Suppose a product's revenue function is given by R(q) = -5q² + 700g. Find an expression for the…

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Q: If R(x) is the revenue earned by selling x gallons of paint, what is a correct interpretation of R'…

A: Given: R(x) is the revenue earned by selling x gallons of paint.

Q: Find the polar coordinates, 0≤0 < 2π and r≥0, of the following points given in Cartesian…

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Q: Problem 3. Find the domain of f(x,y)=√√4-r²-y²+ln (r³y). Then graph this domain.

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Q: Estimate the area under the graph of F(X)=X2 +6X+11  over the interval [0,8] using four…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Answer the following questions for the function f(x)=x√√x²+4 defined on the interval -5 ≤ x ≤ 4.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Let R be the region in the first quadrant bounded by the x- and y-axes and the line x + y = 13.…

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Q: Write out the form of the partial fraction decomposition of the function: - Sº A Determine the…

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Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: 6. Compute dy where xy = dx cos(x+y)-y x cos(x+y)+y x cos(x+y)-y x-cos(x+y) cos(x+y)+y x+cos(x+y)…

A: The equation is given by xy = sinx+y To determine: The expression of dydx.

Q: Suppose y = sin(-5x² - 4x + 3). We can write y = sin(u), where u dy du dy d.x get dy da = dy du du…

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Q: - The cost function for a product is C(q) = q³ −— 66q² + 1452q + 1110 for 0 ≤ q ≤ 50 and a price per…

A: Given cost function:- Cq=q3-66q2+1452q+1110

Q: Where does the line x = 5+1, y = 9-1, z = 21 intersect the cylinder x² + y² = 196? Enter your…

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Q: Find the following limit. lim V

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Q: Your monthly profit (in dollars) from selling magazines is given by P = 6x + 6x + 10 , where…

A: The solution is shown below-

Q: an- If the nth partial sum of a series an is sn = 7 - n5-, find an and Σ n = 1 n = 1 n = 1 a1 an = =…

A: If the nth partial sum of a series ∑n=1∞ an is sn=7-n·5-n, then to find a1, an and ∑n=1∞ an.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Find an equation of the line tangent to the curve defined by a³ + 5xy + y = 7 at the point (1, 1). Y

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Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: The solution is shown below-

Q: Replace the Cartesian equation x = y with an equivalent polar equation.

A: given x=y

Q: Match each of the following conditions with an equation. f(x) = 24x - 4 fil(0) f(0) = f(0) = 0 = y =…

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Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Solution Regression model for men

Q: A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of…

A: Box

Q: 2. If f(x) = cos x², what is f"(x)?

A: Since the student has mentioned to solve more than one question but according to our guidelines, we…

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 8 4x20y4z = -2 - O…

A: Two lines are parallel if the ratio between their corresponding coefficients is same. The angle…

Q: Find the equation for an exponential function that passes through the pair of points given below.…

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Q: aluate the limit lim x→1 ƒ(x)-ƒ(1) x-1 using the limit toolkit developed in class

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Q: Evaluate the double integral over the given region R R (18y²-14x) DA R: 0≤x≤4, 0≤y≤2

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Q: The graph below is generated from the function h (z) -7 -6 -5 Find a, b, and c. a= [Select] b=…

A: The graph below is generated from the function hx=x-5x-ax+bx-c. To find a, b, and c.

Q: The point x = 0 is a regular singular point of the given differential equation. Find the recursive…

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Q: Show that these planes intersect in a point for all values of a, b, and c. x + y + z = a x + 2y +…

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Q: Suppose the function f(x) has a domain of all real numbers and its derivative is shown below. f'(x)…

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Q: Suppose the income from an Internet access business is a continuous income stream with annual rate…

A: We have given the rate of annual flow,f(t)=900 t e-0.1t

Q: The area of the region enclosed by the curves y = 2x and y=x²-3x is given by which of the following…

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Q: of f'(1)? Use the chain rule to differentiate f(x) = (x10+ln(x)) 10. What is the value (A) 110 (B)…

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Q: Find the derivative of the function. y = x²√√16x² V y' = -

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Q: 2√/2x-x2 1. f S 5√x² + y²dydx

A: We have to evaluate the given integrals.   According to our guidelines we can solve only one…

Q: Find the derivative of the function at the given number. f(x) = x² - 9 at 0 f(0) =

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Q: Find the point(s) of intersection 2x + 7y = 10, x-1 7 (x, y, z) = (if any) of the plane and the…

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

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